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Finding the Fourth Proportional to 190,295, 261,907.98 and 163,132.52

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Solution

The fourth proportional to 190,295, 261,907.98 and 163,132.52 is: 224,523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,295 : 261,907.98 = 163,132.52 : x
  2. Step 2: Convert to fraction form
    190,295/261,907.98 = 163,132.52/x
  3. Step 3: Cross multiply
    190,295x = 261,907.98 × 163,132.52
  4. Step 4: Simplify right side
    190,295x = 42,725,708,785.51
  5. Step 5: Solve for x
    x = 42,725,708,785.51/190,295
  6. Step 6: Final answer
    x = 224,523.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.